Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

(2): "37.6" was replaced by "(376/10)".

Step  1  :

 1.1     10 = 2•5

(10)^-2 = (2•5)^(-2) = (2)^(-2) • (5)^(-2)

Equation at the end of step  1  :

  376
  ——— • ((2)(-2)•(5)(-2))
  10 

Step  2  :

            188
 Simplify   ———
             5 

Equation at the end of step  2  :

  188
  ——— • ((2)(-2)•(5)(-2))
   5 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5²   = 5^{(1 + 2)} = 5³

Canceling Out :

 3.2      Canceling out  2² as it appears on both sides of the fraction line

Final result :

   47           
  ——— = 0.37600 
  125